In order to investigate the optical response of \(C_{60}\)  we do not need to involve strong excitations which could affect the core electrons or deform the structure and for this reason a simplification is at hand by using the so called jellium model. This model basically states that as long as in a molecular system the excitations are just perturbative and therefore lie in the linear region, one could say, due to Born-Oppenheimer [1]} approximation, that the nuclei remain frozen. In the same conditions, the core electrons are not excited and due to the electrostatic screening, the valence electrons, which have higher energies and are more susceptible to respond to external fields, see the coupling between nuclei and core in an averaged manner. So, instead of nuclei and bounded electrons it is more useful to use a single homogeneous distribution of positive charge which creates a fixed potential for the valence electrons. The self-consistent jellium model proved itself to be an appropriate method predicting quantitative results in good agreement with the experimental data in cluster physics [2]}, [3]}. In our case, we use the classical model of a positive charged shell centered on the support surface for the carbon nuclei in \(C_{60}\)  cluster used before in other approaches [4]},[5]}.
